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caesar's last breath problem

Assume that caesar's last breath(air molecules) is still in the atmosphere.From the following assumptions calculate the required probability given below:

Assumptions: 1. The gas molecules from Caesar's last breath are now evenly dispersed in the atmosphere. 2. The atmosphere is 50 km thick, has an average temperature of 15 °C, and an average pressure of 0.20 atm. 3. The radius of the Earth is about 6400 km. 4. The volume of a single human breath is roughly 500 mL.

find the probability that we inhale an air molecule from caesar's last breath??